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Revenue Recognition - Schedule of Disaggregated Revenues (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Feb. 29, 2024	Feb. 28, 2023	Feb. 29, 2024	Feb. 28, 2023
Disaggregation of Revenue [Line Items]
Total sales	$ 905.9	$ 943.6	$ 1,840.6	$ 1,941.5
Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	843.5	890.8	1,719.9	1,837.9
Operating Segments | ISG
Disaggregation of Revenue [Line Items]
Total sales	68.1	58.2	132.3	115.0
Eliminations
Disaggregation of Revenue [Line Items]
Total sales	(5.7)	(5.4)	(11.6)	(11.4)
Independent sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	612.3	635.3	1,237.5	1,309.0
Direct sales network | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	93.0	94.7	190.4	201.1
Retail sales | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	46.4	50.4	102.0	100.3
Corporate accounts | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	38.1	54.0	79.6	103.1
OEM and other | Operating Segments | ABL
Disaggregation of Revenue [Line Items]
Total sales	$ 53.7	$ 56.4	$ 110.4	$ 124.4

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